On Higher Dimensional Fuzzy Spherical Branes

Abstract

Matrix descriptions of higher dimensional spherical branes are investigated. It is known that a fuzzy 2k-sphere is described by the coset space SO(2k+1)/U(k) and has some extra dimensions. It is shown that a fuzzy 2k-sphere is comprised of n^{\frac{k(k-1)}{2}} spherical D(2k-1)-branes and has a fuzzy 2(k-1)-sphere at each point. We can understand the relationship between these two viewpoints by the dielectric effect. Contraction of the algebra is also discussed.

20 pages

References in corpus (2)

• Higher dimensional geometries related to fuzzy odd-dimensional spheres
• Matrix Models in Homogeneous Spaces

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